The

maxlevel that the EPA considers safe for lead in air is 1.5 microgram/m3
. If your lungs were filled
with air containing this level of lead, how many moles of lead atoms would be in your lungs? (Assume a
total lung volume of 5.50 L and 1 cm3 = 1mL.)

1.5 ug/m^3 = 0.0015 ug/L.

0.0015 ug/L x 5.50 L = ? micrograms Pb in the lungs. Convert to grams.
Then mols Pb = g Pb/atomic mass Pb

Thank you!

To calculate the number of moles of lead atoms in your lungs, we first need to convert the lead concentration from micrograms per cubic meter (μg/m^3) to moles per liter (mol/L).

Given:
- Maximum lead level in air = 1.5 μg/m^3
- Total lung volume = 5.50 L

Conversion factors:
- 1 μg = 1 × 10^-6 g
- Atomic mass of lead (Pb) = 207.2 g/mol
- 1 mol = 10^3 mmol (millimoles)

First, let's convert the lead level from micrograms per cubic meter (μg/m^3) to grams per liter (g/L).

1.5 μg/m^3 * (1 g / 10^6 μg) * (1 m^3 / 10^3 L) = 1.5 × 10^-9 g/L

Next, we'll convert grams per liter (g/L) to moles per liter (mol/L) using the molar mass of lead (207.2 g/mol).

1.5 × 10^-9 g/L * (1 mol / 207.2 g) = 7.24 × 10^-12 mol/L

Now, we have the concentration of lead atoms in moles per liter. To calculate the number of moles of lead atoms in the lungs, we multiply this concentration by the total lung volume.

7.24 × 10^-12 mol/L * 5.50 L = 3.98 × 10^-11 mol

Therefore, if your lungs were filled with air containing the maximum safe level of lead, there would be approximately 3.98 × 10^-11 moles of lead atoms in your lungs.

To calculate the number of moles of lead atoms in your lungs, we need to follow a few steps:

Step 1: Convert the given concentration from micrograms per cubic meter (μg/m3) to moles per cubic meter (mol/m3).

To do this conversion, we need the molar mass of lead. The molar mass of lead (Pb) is 207.2 g/mol.

1.5 μg/m3 = (1.5/1,000,000) g/m3 (1 μg = 1/1,000,000 g)

Now, we can convert grams to moles:

(1.5/1,000,000) g/m3 * (1 mol/207.2 g) = (1.5/1,000,000) * 1/207.2 mol/m3

Step 2: Calculate the number of moles of lead in the total lung volume.

Given that the total lung volume is 5.50 L, we need to convert this to cubic meters:

5.50 L * (1 m3/1000 L) = 0.00550 m3

Now, we can calculate the number of moles of lead atoms:

Number of moles of lead atoms = concentration (mol/m3) * total lung volume (m3)
= [(1.5/1,000,000) * 1/207.2] * 0.00550 mol

Finally, calculate the moles of lead atoms in your lungs.

The result from the above calculation will give you the number of moles of lead atoms in your lungs if your lungs were filled with air containing the given level of lead concentration.